2013405204400 has 60 divisors (see below), whose sum is σ = 4843752325000. Its totient is φ = 804272163840.

The previous prime is 2013405204389. The next prime is 2013405204409. The reversal of 2013405204400 is 44025043102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2013405204409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3110025 + ... + 3701224.

Almost surely, 2^{2013405204400} is an apocalyptic number.

2013405204400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013405204400 is an abundant number, since it is smaller than the sum of its proper divisors (2830347120600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2013405204400 is a wasteful number, since it uses less digits than its factorization.

2013405204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6812006 (or 6811995 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 2013405204400 in words is "two trillion, thirteen billion, four hundred five million, two hundred four thousand, four hundred".